Sliding Mode Control of One-Sided Lipschitz Nonlinear Markovian Jump Systems With Partially Unknown Transition Rates

被引：3
|
作者：
Li, Yuan [1 ]
Sun, Qingdong [1 ]
Ren, Junchao [2 ]
Liu, Yang [3 ]
机构：
[1] Shenyang Univ Technol, Sch Sci, Shenyang 110870, Peoples R China
[2] Northeastern Univ, Coll Sci, Shenyang 110819, Peoples R China
[3] Shenyang Univ Technol, Sch Elect Engn, Shenyang 110870, Peoples R China
来源：
IEEE ACCESS | 2020年 / 8卷
关键词：
Markovian jump systems; partially unknown transition rates; sliding mode control; one-sided Lipschitz; OPTIMAL TRACKING CONTROL; OBSERVER DESIGN; FEEDBACK;
D O I：
10.1109/ACCESS.2020.3020323
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the problem of sliding mode control (SMC) for one-sided Lipschitz (OSL) nonlinear Markovian jump systems with partially unknown transition rates. Unmatched norm-bounded uncertainties of state matrices and output matrices are considered. First, a suitable integral-type sliding surface is proposed and a sufficient condition is given such that the sliding mode dynamics is stochastically stable with an H-infinity performance level gamma. Next, an SMC law is synthesized such that reachability of the specified sliding surface can be ensured. Finally, two simulation examples are provided to prove the effectiveness of the proposed approach.
引用
收藏
页码：158306 / 158316
页数：11
相关论文
共 50 条
  • [31] Observer Design for Fractional Order One-Sided Lipschitz Nonlinear Systems with Unknown Input
    Zhan, Tao
    Ma, Shuping
    2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 1883 - 1888
  • [32] Adaptive Observer of One-sided Lipschitz Nonlinear Systems
    Liu, Hao
    Ma, Jiachen
    Yang, Mingli
    Sun, Yude
    INDUSTRIAL INSTRUMENTATION AND CONTROL SYSTEMS II, PTS 1-3, 2013, 336-338 : 417 - +
  • [33] Nonlinear Observer Design for One-Sided Lipschitz Systems
    Abbaszadeh, Masoud
    Marquez, Horacio J.
    2010 AMERICAN CONTROL CONFERENCE, 2010, : 5284 - 5289
  • [34] Synthesis of Markovian Jump Time-Delay Systems with Partially Unknown Transition Rates
    Du, Baozhu
    Lam, James
    Zou, Yun
    Shu, Zhan
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 2792 - 2797
  • [35] Exponential Passification of Markovian Jump Nonlinear Systems with Partially Known Transition Rates
    Luo, Mengzhuo
    Zhong, Shouming
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [36] H∞ observers for one-sided Lipschitz nonlinear systems
    Tai, Zhi-Xin
    Wang, Xing-Cheng
    2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 860 - 863
  • [37] Sliding-mode observer design and finite-time control of one-sided Lipschitz nonlinear systems with time-delay
    Gholami, Hadi
    Binazadeh, Tahereh
    SOFT COMPUTING, 2019, 23 (15) : 6429 - 6440
  • [38] Sliding-mode observer design and finite-time control of one-sided Lipschitz nonlinear systems with time-delay
    Hadi Gholami
    Tahereh Binazadeh
    Soft Computing, 2019, 23 : 6429 - 6440
  • [39] Sliding mode control for Markov jump linear uncertain systems with partly unknown transition rates
    Zheng, Bo-Chao
    Yang, Guang-Hong
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2014, 45 (10) : 1999 - 2011
  • [40] Robust Observer-Based Finite Time Sliding Mode Control for One-Sided Lipschitz Systems With Uncertainties
    Ren, Junchao
    Sun, Jie
    Li, Fangfang
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2021, 143 (01):
12345